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TI-84 Normal Distribution Calculator
Calculate normal distribution probabilities, z-scores, and percentiles with step-by-step explanations. Visualize areas under the curve just like your TI-84 calculator. Perfect for statistics students!
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Select Calculation Type
Probability (X ≤ x)
Probability (a ≤ X ≤ b)
Find Z-Score
Find Percentile
Inverse Normal
Quick Examples
Try these common statistical problems:
normalcdf(-1E99,0,0,1)
0.5
Normal Distribution Tutorial
Normal Distribution Basics
Understanding Z-Scores
Real-World Applications
Calculation Methods
Normal Distribution Basics
The normal distribution, also known as the Gaussian distribution, is a continuous probability distribution that is symmetric around its mean. It's one of the most important distributions in statistics.
Key Properties:
- Bell-shaped curve - The distribution is symmetric and forms a bell shape
- Mean = Median = Mode - All three measures of central tendency are equal
- 68-95-99.7 Rule - 68% of data falls within 1σ, 95% within 2σ, and 99.7% within 3σ of the mean
- Asymptotic - The tails approach but never touch the x-axis
Standard Normal Distribution:
A special case where μ = 0 and σ = 1. Any normal distribution can be converted to the standard normal using z-scores.
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